The equation of state for scalar-tensor gravity
Shao-Feng Wu, Guo-Hong Yang, Peng-Ming Zhang
TL;DR
This paper demonstrates that the field equations of Brans-Dicke and scalar-tensor gravity can be derived from the thermodynamic properties of Rindler spacetime, linking gravity to thermodynamics.
Contribution
It introduces a novel derivation of scalar-tensor gravity equations as an equation of state in Rindler spacetime, emphasizing thermodynamic aspects.
Findings
Field equations derived from thermodynamics of Rindler spacetime
Effective energy does not experience heat flow across the horizon
Links gravity equations to local thermodynamic equilibrium
Abstract
We show that the field equation of Brans-Dicke gravity and scalar-tensor gravity can be derived as the equation of state of Rindler spacetime, where the local thermodynamic equilibrium is maintained. Our derivation implies that the effective energy can not feel the heat flow across the Rindler horizon.
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